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Discrete subgroups of isometries in complex hyperbolic space

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Speaker: 
P. Will
Affiliation: 
Inst. de Math. de Jussieu/MPI
Date: 
Thu, 2010-03-25 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

The goal of this talk is to present results and examples about discrete subgroups of PU(2,1), which is the automorphism group of the complex hyperbolic plane. These groups are a complex 2-dimensional analogue of Fuchsian groups in PSL(2,R), or Kleinian groups in PSL(2,C). The complex hyperbolic space is an example of a rank one symmetric space with negative pinched curvature. It is biholomorphic to a ball, and is a natural generalisation of the usual Poincaré disk or upper half plane. I will try to illustrate on examples the differences between the "classical" cases of Fuchsian and Kleinian groups and the complex hyperbolic case.

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